212106885120 has 1152 divisors, whose sum is σ = 841402598400. Its totient is φ = 50928943104.

The previous prime is 212106885113. The next prime is 212106885157. The reversal of 212106885120 is 21588601212.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2555504599 + ... + 2555504681.

It is an arithmetic number, because the mean of its divisors is an integer number (730384200).

Almost surely, 2^212106885120 is an apocalyptic number.

212106885120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212106885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420701299200).

212106885120 is an abundant number, since it is smaller than the sum of its proper divisors (629295713280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212106885120 is an equidigital number, since it uses as much as digits as its factorization.

212106885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 212106885120 in words is "two hundred twelve billion, one hundred six million, eight hundred eighty-five thousand, one hundred twenty".